Finite sets containing zero are mapping degree sets
Geometric Topology
2024-09-17 v5 Algebraic Topology
Number Theory
Abstract
In this paper we solve in the positive the question of whether any finite set of integers, containing the zero, is the mapping degree set between two oriented closed connected manifolds of the same dimension. We extend this question to the rational setting, where an affirmative answer is also given.
Keywords
Cite
@article{arxiv.2301.13719,
title = {Finite sets containing zero are mapping degree sets},
author = {Cristina Costoya and Vicente Muñoz and Antonio Viruel},
journal= {arXiv preprint arXiv:2301.13719},
year = {2024}
}
Comments
Final version accepted for publication in Advances in Mathematics